## Results (1-50 of 144 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3840.1.c.a $$1$$ $$1.916$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-q^{3}-q^{5}+q^{9}+q^{15}+q^{25}-q^{27}+\cdots$$
3840.1.c.b $$1$$ $$1.916$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$0$$ $$-1$$ $$1$$ $$0$$ $$q-q^{3}+q^{5}+q^{9}-q^{15}+q^{25}-q^{27}+\cdots$$
3840.1.c.c $$1$$ $$1.916$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$0$$ $$1$$ $$-1$$ $$0$$ $$q+q^{3}-q^{5}+q^{9}-q^{15}+q^{25}+q^{27}+\cdots$$
3840.1.c.d $$1$$ $$1.916$$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$0$$ $$1$$ $$1$$ $$0$$ $$q+q^{3}+q^{5}+q^{9}+q^{15}+q^{25}+q^{27}+\cdots$$
3840.1.c.e $$2$$ $$1.916$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{30})$$ $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-iq^{5}+iq^{7}+q^{9}+iq^{15}+\cdots$$
3840.1.c.f $$2$$ $$1.916$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-30})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{5}-q^{9}-q^{15}-q^{23}+\cdots$$
3840.1.c.g $$2$$ $$1.916$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-30})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{5}-q^{9}+q^{15}+q^{23}+\cdots$$
3840.1.c.h $$2$$ $$1.916$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{30})$$ $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-iq^{5}-iq^{7}+q^{9}-iq^{15}+\cdots$$
3840.1.i.a $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}q^{3}-q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
3840.1.i.b $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}q^{3}+q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
3840.1.bj.a $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}+(-1+\zeta_{8}^{2})q^{7}+\cdots$$
3840.1.bj.b $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1+\zeta_{8}^{2})q^{7}+\cdots$$
3840.1.bj.c $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1-\zeta_{8}^{2})q^{7}+\cdots$$
3840.1.bj.d $$4$$ $$1.916$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{3}q^{3}+\zeta_{8}q^{5}+(1-\zeta_{8}^{2})q^{7}-\zeta_{8}^{2}q^{9}+\cdots$$
3840.1.bu.a $$8$$ $$1.916$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}q^{3}+\zeta_{16}^{3}q^{5}+\zeta_{16}^{2}q^{9}-\zeta_{16}^{4}q^{15}+\cdots$$
3840.1.bu.b $$8$$ $$1.916$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}q^{3}+\zeta_{16}^{3}q^{5}+\zeta_{16}^{2}q^{9}+\zeta_{16}^{4}q^{15}+\cdots$$
3840.1.cl.a $$16$$ $$1.916$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{3}q^{3}+\zeta_{32}q^{5}+\zeta_{32}^{6}q^{9}-\zeta_{32}^{4}q^{15}+\cdots$$
3840.1.dy.a $$64$$ $$1.916$$ $$\Q(\zeta_{128})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{128}^{29}q^{2}-\zeta_{128}q^{3}+\zeta_{128}^{58}q^{4}+\cdots$$
3840.2.a.a $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-4$$ $$+$$ $$q-q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$$
3840.2.a.b $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-2$$ $$-$$ $$q-q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
3840.2.a.c $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
3840.2.a.d $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{3}-q^{5}-2q^{7}+q^{9}+4q^{11}+q^{15}+\cdots$$
3840.2.a.e $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}+q^{9}+6q^{13}+q^{15}+2q^{19}+\cdots$$
3840.2.a.f $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$2$$ $$+$$ $$q-q^{3}-q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
3840.2.a.g $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$2$$ $$-$$ $$q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}+6q^{13}+\cdots$$
3840.2.a.h $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-2$$ $$+$$ $$q-q^{3}+q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
3840.2.a.i $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-2$$ $$-$$ $$q-q^{3}+q^{5}-2q^{7}+q^{9}+6q^{11}-6q^{13}+\cdots$$
3840.2.a.j $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}+q^{9}-6q^{13}-q^{15}+2q^{19}+\cdots$$
3840.2.a.k $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
3840.2.a.l $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$+$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
3840.2.a.m $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$+$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-q^{15}+\cdots$$
3840.2.a.n $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$4$$ $$-$$ $$q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$$
3840.2.a.o $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{3}-q^{5}-2q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots$$
3840.2.a.p $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$-$$ $$q+q^{3}-q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
3840.2.a.q $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}+6q^{13}-q^{15}-2q^{19}+\cdots$$
3840.2.a.r $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$2$$ $$+$$ $$q+q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\cdots$$
3840.2.a.s $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$2$$ $$+$$ $$q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$$
3840.2.a.t $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$2$$ $$-$$ $$q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$$
3840.2.a.u $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$4$$ $$+$$ $$q+q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$$
3840.2.a.v $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-4$$ $$-$$ $$q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$$
3840.2.a.w $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $$+$$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$$
3840.2.a.x $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $$+$$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
3840.2.a.y $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $$-$$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
3840.2.a.z $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q+q^{3}+q^{5}+q^{9}-6q^{13}+q^{15}-2q^{19}+\cdots$$
3840.2.a.ba $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$2$$ $$+$$ $$q+q^{3}+q^{5}+2q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots$$
3840.2.a.bb $$1$$ $$30.663$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$2$$ $$-$$ $$q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$$
3840.2.a.bc $$2$$ $$30.663$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$-4$$ $$+$$ $$q-q^{3}-q^{5}+(-2+\beta )q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$$
3840.2.a.bd $$2$$ $$30.663$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$4$$ $$-$$ $$q-q^{3}-q^{5}+2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$$
3840.2.a.be $$2$$ $$30.663$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$4$$ $$+$$ $$q-q^{3}-q^{5}+2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$$
3840.2.a.bf $$2$$ $$30.663$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$2$$ $$-4$$ $$-$$ $$q-q^{3}+q^{5}-2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$$